The Structure of Certain Spaces of Analytic Functions

被引：3
|
作者：
James E. Brennan
机构：
[1] University of Kentucky,Department of Mathematics
来源：
Computational Methods and Function Theory | 2008年 / 8卷 / 2期
关键词：
Rational approximation; analytic capacity; direct sum decomposition; 30E10; 41A10; 41A20; 30C85; 30H05;
D O I：
10.1007/BF03321709
中图分类号：
学科分类号：
摘要：
Let μ be a measure of compact support in the complex plane. In 1991 J. E. Thomson described completely the structure of Hp(μ), the closed subspace of Lp(μ) spanned by the polynomials, when 1 ≤ p < ∞. Here we discuss the extent to which Rp(μ), the closed subspace of Lp(μ) spanned by the rational functions having no poles on the support of μ, admits a similar description.
引用
收藏
页码：625 / 640
页数：15
相关论文
共 50 条
  • [41] ANALYTIC FUNCTIONS IN BANACH SPACES
    WHITTLESEY, EF
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1965, 16 (05) : 1077 - +
  • [42] Approximation in spaces of analytic functions
    Bahajji-El Idrissi, Hafid
    El-Fallah, Omar
    STUDIA MATHEMATICA, 2020, 255 (02) : 209 - 217
  • [43] Dual spaces of weighted spaces of analytic functions
    Abuzyarova, NF
    Yulmukhametov, RS
    SIBERIAN MATHEMATICAL JOURNAL, 2001, 42 (01) : 1 - 14
  • [44] Dual Spaces of Weighted Spaces of Analytic Functions
    N. F. Abuzyarova
    R. S. Yulmukhametov
    Siberian Mathematical Journal, 2001, 42 : 1 - 14
  • [45] Differential inequalities for certain analytic functions
    Nunokawa, Mamoru
    Cho, Nak Eun
    Kwon, Oh Sang
    Owa, Shigeyoshi
    Saitoh, Hitoshi
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2008, 56 (11) : 2908 - 2914
  • [46] Radius of starlikeness of certain analytic functions
    S. Madhumitha
    V. Ravichandran
    Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2021, 115
  • [47] RADIUS ESTIMATES OF CERTAIN ANALYTIC FUNCTIONS
    Kumar, Sushil
    Rai, Pratima
    Cetinkaya, Asena
    HONAM MATHEMATICAL JOURNAL, 2021, 43 (04): : 627 - 639
  • [48] Certain Integral Operators of Analytic Functions
    Lupas, Alina Alb
    Andrei, Loriana
    MATHEMATICS, 2021, 9 (20)
  • [49] On Geometrical Properties of Certain Analytic functions
    S. Sivaprasad Kumar
    K. Gangania
    Iranian Journal of Science and Technology, Transactions A: Science, 2021, 45 : 1437 - 1445
  • [50] CERTAIN CLASSES OF FUNCTIONS ANALYTIC ON A CIRCLE
    SHEREMETA, MN
    IZVESTIYA VYSSHIKH UCHEBNYKH ZAVEDENII MATEMATIKA, 1989, (05): : 64 - 67
12345